This is found using the binomial distribution with P(H) = 1/2 and P(T) = 1/2 n = 15 and r = 10
= nCr(0.5)^(15-10)(0.5)^10
= 15C10 * 0.5^15 = 0.0916 or 9.16%
Answer:
30?
Step-by-step explanation:
The area of the triangle is 30 but i dont know what the area of a semi circle is.
Answer:
38
Step-by-step explanation:
10+10=20
9+9=18
20+18=38
n, n+1 - two consecutive integers
n(n + 1) = 50 <em>use distributive property</em>
n² + n = 50 <em>subtract 50 from both sides</em>
n² + n - 50 = 0
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ax² + bx + c =0
if b² - 4ac > 0 then we have two solutions:
[-b - √(b² - 4ac)]/2a and [-b - √(b² + 4ac)]/2a
if b² - 4ac = 0 then we have one solution -b/2a
if b² - 4ac < 0 then no real solution
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n² + n - 50 = 0
a = 1, b = 1, c = -50
b² - 4ac = 1² - 4(1)(-50) = 1 + 200 = 201 > 0 → two solutions
√(b² - 4ac) = √(201) - it's the irrational number
Answer: There are no two consecutive integers whose product is 50.
